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Reverse osmosis in annuli
Author(s) -
Gill William N.,
Zeh Dale W.,
Tien Chi
Publication year - 1966
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690120618
Subject(s) - concentration polarization , inlet , mechanics , reverse osmosis , diffusion equation , nonlinear system , polarization (electrochemistry) , flux (metallurgy) , thermodynamics , diffusion , convection–diffusion equation , range (aeronautics) , membrane , chemistry , materials science , physics , engineering , mechanical engineering , metric (unit) , biochemistry , operations management , organic chemistry , quantum mechanics , composite material
The nonlinear problem of reverse osmosis in annular conduits is solved by a series expansion method which is very accurate in the diffusion entrance region near the inlet of the membrane section. It is found that polarization at the outer membrane surface is significantly greater than at the inner wall. In the diffusion entrance region, for the problem considered, the degree of polarization depends on the three parameters, σ, and B 2 , which are known once the operating conditions and the physical properties of the system are specified. The quantities θ i (0) are tabulated for a wide range of η k and B 2 . With these quantities known one can apply Equation (17) at β = 0 to calculate the wall concentration distribution and, with Equation (4), the flux distribution along the system. Then, by using Equation (26), the water produced by the system can be determined explicitly in terms of prescribed operating conditions.